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Finding the Fourth Proportional to 8,200.63, 11,317 and 4,474.63

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Solution

The fourth proportional to 8,200.63, 11,317 and 4,474.63 is: 6,175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.63 : 11,317 = 4,474.63 : x
  2. Step 2: Convert to fraction form
    8,200.63/11,317 = 4,474.63/x
  3. Step 3: Cross multiply
    8,200.63x = 11,317 × 4,474.63
  4. Step 4: Simplify right side
    8,200.63x = 50,639,387.71
  5. Step 5: Solve for x
    x = 50,639,387.71/8,200.63
  6. Step 6: Final answer
    x = 6,175.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.